QuiteRSS. This is a simple Qt application with good usability that does the job.
Advantages: It's neither a web service that will disappaer tomorrow, nor a browser extension that ties you to a specific browser.
Off-Topic: As with most websites, I had to visit an "About" sub page to get to the description what it does. Why?! Shouldn't this information be the first you read when you open the main site? It's almost the same nonsense as with so-called "landing pages". If a company's main site doesn't qualify as landing page, why do they create a separate sub page instead of just improving their main site? And some websites don't have any newcomer-friendly sub page at all - then there's Wikipedia to the rescue.